STANDARD AND NON-STANDARD QUANTUM MODELS: A NON-COMMUTATIVE VERSION OF THE CLASSICAL SYSTEM OF SU(2) AND SU(1,1) ARISING FROM QUANTUM OPTICS

DOI10.1142/S0219887805000879zbMath1082.81051arXivquant-ph/0506026MaRDI QIDQ5709211

Kazuyuki Fujii

Publication date: 29 November 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0506026

zbMATH Keywords

noncommutative representationsnoncommutative Veronese mappingsnon-standard quantum modelnoncommutative Berry modelsnoncommutative Hopf bundlesStandard quantum model

Mathematics Subject Classification ID

Unified quantum theories (81V22) Quantum optics (81V80) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Unnamed Item
• Introduction to Grassmann manifolds and quantum computation
• FUZZY NAMBU–GOLDSTONE PHYSICS
• QUANTUM DIAGONALIZATION METHOD IN THE TAVIS–CUMMINGS MODEL

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